Atkin-Lehner |
2- 3+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
45120cb |
Isogeny class |
Conductor |
45120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8184701583360 = 216 · 312 · 5 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21025,-1158335] |
[a1,a2,a3,a4,a6] |
Generators |
[-2256:2429:27] |
Generators of the group modulo torsion |
j |
15684564006436/124888635 |
j-invariant |
L |
4.8991568927066 |
L(r)(E,1)/r! |
Ω |
0.39666361972481 |
Real period |
R |
6.17545528387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45120bn4 11280f3 |
Quadratic twists by: -4 8 |